Persistence and Global Stability for Delay Nonautonomous Predator-prey System

In order to study the uniform persistence and global stability of a delayed nonautonomous three specie predator-prey Lotka-Volterra system without dominating instantaneous negative feedback.In an appro- priate condition,using the knowledge of not-equation,we proved the system is uniformly persistent by con- structing a suitable Lyapunov function.Sufficient condition are derived form the global stability of the system. The author considered three species——y₁,y₂,y₃ in the system which has two predator y₂,y₃ and two preys y₁,y₂;y₂ not only is the predator to y₁ but also is the prey to y₃,y₁ is the prey to y₃ too.